Answer:
The area of the sector is 8*pi cm² or 25.13272 cm².
Step-by-step explanation:
In order to calculate the area of a circular sector we can apply a rule of three in such a way that the circle's area, pi*r² cm², is related to 360º in such a way that "x" cm² is related to the angle of the sector. We have:
pi*r² cm² ---------> 360º
x cm² ------------> 80º
pi*r²/x = 360/80
360*x = 80*pi*r²
x = 80*pi*r²/360
x = 80*pi*(6)²/360
x = 80*pi*36/360
x = 8*pi cm²
The area of the sector is 8*pi cm² or 25.13272 cm².
